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Finding the Third Proportional to 33,645.38 and 72,120.38

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Solution

The third proportional to 33,645.38 and 72,120.38 is: 154,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,645.38 : 72,120.38 = 72,120.38 : x
  2. Step 2: Convert to fraction form
    33,645.38/72,120.38 = 72,120.38/x
  3. Step 3: Cross multiply
    33,645.38x = 72,120.38 × 72,120.38
  4. Step 4: Simplify right side
    33,645.38x = 5,201,348,490.14
  5. Step 5: Solve for x
    x = 5,201,348,490.14/33,645.38
  6. Step 6: Final answer
    x = 154,593.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.